Advances in Civil Engineering

Research Article

Ranking Sustainable Projects through an Innovative Hybrid DEMATEL-VIKOR Decision-Making Approach Using Z-Number

Table 43

Normalized decision matrix in fuzzy condition.


Weight	0.109	0.102	0.056	0.097	0.051	0.074	0.115	0.069	0.078	0.098	0.083	0.067
Weight	E1	E2	E3	E4	S1	S2	S3	S4	G1	G2	G3	G4

P1	(0.464, 0.586, 0.708)	(0.402, 0.55, 0.698)	(0.122, 0.293, 0.463)	(−0.5, 0, 0.5)	(0.5, 1, 1)	(0, 0.5, 0.75)	(−0.25, 0, 0.25)	(0.5, 1, 1)	(−0.25, 0, 0.25)	(−0.25, 0.25, 0.5)	(0.25, 0.75, 1)	(−0.25, 0, 0.25)
P2	(0.164, 0.3, 0.437)	(0.127, 0.288, 0.449)	(0.268, 0.439, 0.61)	(−0.5, 0, 0.5)	(0.25, 0.75, 1)	(0.5, 1, 1)	(−0.25, 0.25, 0.5)	(0, 0.5, 0.75)	(0.5, 1, 1)	(−0.25, 0, 0.25)	(0.25, 0.75, 1)	(0.5, 1, 1)
P3	(0.786, 0.893, 1)	(0.736, 0.868, 1)	(−0.171, 0, 0.171)	(0.25, 0.75, 1)	(0.5, 1, 1)	(0.25, 0.75, 1)	(−0.25, 0, 0.25)	(−0.25, 0, 0.25)	(0.5, 1, 1)	(0, 0.5, 0.75)	(−0.25, 0, 0.25)	(0, 0.5, 0.75)
P4	(−0.046, 0.1, 0.247)	(0.033, 0.198, 0.364)	(0.537, 0.707, 0.878)	(−0.5, 0, 0.5)	(0.25, 0.75, 1)	(0.5, 1, 1)	(−0.25, 0, 0.25)	(0.25, 0.75, 1)	(0, 0.5, 0.75)	(0.25, 0.75, 1)	(0.5, 1, 1)	(−0.25, 0.25, 0.5)
P5	(0.599, 0.715, 0.831)	(0.477, 0.622, 0.766)	(0, 0.171, 0.341)	(0.25, 0.75, 1)	(0.5, 1, 1)	(0.25, 0.75, 1)	(0.25, 0.75, 1)	(0.5, 1, 1)	(−0.25, 0, 0.25)	(0, 0.5, 0.75)	(−0.25, 0, 0.25)	(0.5, 1, 1)
P6	(−0.152, 0, 0.152)	(−0.175, 0, 0.175)	(0.659, 0.829, 1)	(−0.5, 0, 0.5)	(0, 0.5, 0.75)	(0, 0.5, 0.75)	(0, 0.5, 0.75)	(0, 0.5, 0.75)	(0.25, 0.75, 1)	(0.5, 1, 1)	(−0.25, 0.25, 0.5)	(0, 0.5, 0.75)
P7	(0.036, 0.179, 0.321)	(0.212, 0.369, 0.526)	(0.439, 0.61, 0.78)	(0.25, 0.75, 1)	(0.25, 0.75, 1)	(0.5, 1, 1)	(0.25, 0.75, 1)	(−0.25, 0, 0.25)	(−0.25, 0, 0.25)	(0, 0.5, 0.75)	(0.25, 0.75, 1)	(−0.25, 0.25, 0.5)
P8	(0.704, 0.815, 0.926)	(0.63, 0.767, 0.904)	(−0.122, 0.049, 0.22)	(−0.5, 0, 0.5)	(−0.25, 0, 0.25)	(−0.25, 0, 0.25)	(−0.25, 0, 0.25)	(−0.25, 0.25, 0.5)	(−0.25, 0.25, 0.5)	(−0.25, 0.25, 0.5)	(−0.25, 0, 0.25)	(−0.25, 0.25, 0.5)